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Finding the Fourth Proportional to 497.29, 746.34 and 266.44

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Solution

The fourth proportional to 497.29, 746.34 and 266.44 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 746.34 = 266.44 : x
  2. Step 2: Convert to fraction form
    497.29/746.34 = 266.44/x
  3. Step 3: Cross multiply
    497.29x = 746.34 × 266.44
  4. Step 4: Simplify right side
    497.29x = 198,854.83
  5. Step 5: Solve for x
    x = 198,854.83/497.29
  6. Step 6: Final answer
    x = 399.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.